Reference Sections in the 6th Grade Mathematics Textbook:

Part 1 - Fraction Operations

5.2 Adding and Subtracting with Unlike Denominators

5.3 Regrouping to Subtract Mixed Numbers

5.5 Multiplying Mixed Numbers

5.6 Dividing Fractions and Mixed Numbers

Part 2 - Fractions, Decimals and Percents

4.4 Fractions and Decimals

7.5 Percents

7.6 Percents, Decimals & Fractions

Part 3 - Rates & Ratios

7.1-7.2 Ratios & Equivalent Ratios

7.1-7.2 Rates & Unit Rates

Part 4 - Proportions

7.4 Proportions

7.7 Percent of a Number

7.8 Solving Percent Problems

Part 5 - Conversions

8.1 Converting Customary Units

8.2 Converting Metric Units

Discovery Ed.

Unit 1, Concepts 1.1 & 1.2

& Unit 4, Concepts 4.1 & 4.3

The following textbook lessons are prior learning. They have been learned in earlier grades. These are here for your reference

4.5 Equivalent Fractions

4.6 Mixed Numbers and Improper Fractions

4.7 Comparing and Ordering Fractions

Unit 3 Part 1 Practice Quizzes - Fractions Operations

5.2 Adding and Subtracting with Unlike Denominators

5.3 Regrouping to Subtract Mixed Numbers

5.5 Multiplying Mixed Numbers

5.6 Dividing Fractions and Mixed Numbers

Unit 3 Part 1 - Fraction Operations

Unit 3 Part 2 - Percents, Decimals & Fractions

Unit 3 Part 3 - Rates & Ratios

Unit 3 Part 4 - Proportions and Percent of a Number

Unit 3 Part 5 - Converting Units of Measurement

Unit Objectives:

• Write a ratio to describe a relationship between 2 quantities.
• Compare and contrast ratios.
• Determine equivalent ratios.
• Identify rate and create definition for unit rate.
• Apply knowledge of ratios and rates to solve real world problems.
• Explain the relationship between fractions, decimals, and percents, and convert between the three representations.
• Apply knowledge of percents to problem solve.
• Convert measurements and understand basic proportional relationships.

New Jersey Student Learning Standards for this Unit:

CCSS.Math.Content.6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For ex., “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A rec’d, candidate C rec’d nearly 3 votes.”

CCSS.Math.Content.6.RP.A.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, & use rate language in context of a ratio relationship. For ex, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for ea. cup of sugar.” “We paid $75 for 15 burgers, a rate of $5 per burger.”

CCSS.Math.Content.6.RP.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

• 6.RP.A.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
• 6.RP.A.3b Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
• 6.RP.A.3c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
• 6.RP.A.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.